What is the answer to 5|2x-7|=25 ?

The answer to 5|2x-7|=25 is x=1\lor x=6

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5|2x-7|=25

5 ∣ 2 x - 7 ∣ = 25

x = 1 or x = 6

Solution steps

5 ∣ 2 x - 7 ∣ = 25

Divide both sides by

5

∣ 2 x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 5 or 2 x - 7 = 5

2 x - 7 = - 5 or 2 x - 7 = 5

x = 1 or x = 6

- 3 \leq - 3 x + 7 < 4

(12 y)^{\frac{1}{2}}

∣ m ∣ \geq 5

5^{- \frac{1}{2}}

x^{2} - 7 - 18